Since the angle are both 45 degrees, then you know that both legs are equal=12.
so to find the hypotenuse, you use the pythagorean theorem:
12^2+12^2= c^2
144+144=c^2
288=c^2
square root(144) x square root (2)=c
12 square root 2 is the answer, so D.
Answer:
0.15% probability that more than 7 of them weigh 65 lb
Step-by-step explanation:
For each dog, there are only two possible outcomes. Either they weigh 65 pounds, or more, or they do not. The probability of a dog weighing 65 pounds or more is independent of other dogs. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
30% of adult Australian sheep dogs weigh 65 pounds or more.
This means that 
Sample of 10 adults dogs.
This means that 
What is the probability that more than 7 of them weigh 65 lb
This is

In which





0.15% probability that more than 7 of them weigh 65 lb
Answer:
(0,27)
Step-by-step explanation:
x2 + 27 = 0
Solutions based on quadratic formula:
x1
= −0 − √ 02 − 4×1×27
2×1
= 0 − 6 × √ 3 i
2
≈ −5.196152i
x2
= −0 + √ 02 − 4×1×27
2×1
= 0 + 6 × √ 3 i 2
≈ 5.196152i
Extrema:
Min = (0, 27)
Multiply each of the numbers by a ten to a power that they both become whole numbers.
0.67 *

= 67
0.3 *

= 30
Divide as usual.
67 / 30 = 2

So, the answer is 2 1/3.